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arXiv · 1310.3067

Soliton dynamics for the generalized Choquard equation

Claudio Bonanno·Pietro d'Avenia·Marco Ghimenti·Marco Squassina
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Abstract

We investigate the soliton dynamics for a class of nonlinear Schrödinger equations with a non-local nonlinear term. In particular, we consider what we call {\em generalized Choquard equation} where the nonlinear term is $(|x|^{θ-N} * |u|^p)|u|^{p-2}u$. This problem is particularly interesting because the ground state solutions are not known to be unique or non-degenerate.

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Claudio Bonanno, Pietro d'Avenia, Marco Ghimenti, Marco Squassina. 2013-10-11. Soliton dynamics for the generalized Choquard equation. https://arxiv.org/abs/1310.3067

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